Texture repeating problem
All those islands should be in the 0-1 space. There are some reasons to move things out of that area, as an example, if you want the texture to repeat or if you want to exclude part of a model from a texture bake operation.

For what you are doing there, I think it's best that you do what is shown in the following image.  While in Edit mode, move all the UV islands into the light grey area that is displayed with the grid.  

The dark grey zone is out of bounds.